Answer: x = {-1, -3, 2}
<u>Step-by-step explanation:</u>
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
|<u> ↓ 1 3 -2 </u>
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
|<u> ↓ -1 -1 6 </u>
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Step-by-step explanation:
From this figure TUW+WUV=TUV ; (5x+3)+(10x-5)=17x-16 so 15x-2=17x-16 ;14=2x therefore x=7
then substitute x on it.
TUW=5x+3=5(7)+3=35+3=38
WUV=10x-5=10(7)-5=70-5=65
TUV=17x-16=17(7)-16=119-16=103
The computation shows that the value of the expression is 2.3.
<h3>How to illustrate the information?</h3>
It should be noted that the information given is illustrated as:
2.3(4.5-3 1/2)
This will be solved thus:
2.3(4.5-3 1/2)
2.3 ( 4.5 - 3.5)
= 2.3 (1)
= 2.3 × 1
= 2.3
Therefore, the value is 2.3
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Answer:
x = 11
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
Answer:
-2
Step-by-step explanation:
Hey there!!
if we evaluate the expression it will look like :
3x + 14 = 8
and if we solve it:
3x+14=8
Step 1: Subtract 14 from both sides.
3x+14−14=8−14
3x=−6
Step 2: Divide both sides by 3.
3x/3 = -6/3
x= −2